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Mirrors > Home > ILE Home > Th. List > reseq1d | Unicode version |
Description: Equality deduction for restrictions. (Contributed by NM, 21-Oct-2014.) |
Ref | Expression |
---|---|
reseqd.1 |
Ref | Expression |
---|---|
reseq1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reseqd.1 | . 2 | |
2 | reseq1 4813 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 cres 4541 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-v 2688 df-in 3077 df-res 4551 |
This theorem is referenced by: reseq12d 4820 fun2ssres 5166 funcnvres2 5198 funimaexg 5207 fresin 5301 offres 6033 tfrlemisucaccv 6222 tfrlemi1 6229 tfr1onlemsucaccv 6238 tfrcllemsucaccv 6251 freceq1 6289 freceq2 6290 fseq1p1m1 9874 setsresg 11997 setscom 11999 dvcoapbr 12840 |
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